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Finding the Fourth Proportional to 6,088, 9,132.58 and 2,802.02

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Solution

The fourth proportional to 6,088, 9,132.58 and 2,802.02 is: 4,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088 : 9,132.58 = 2,802.02 : x
  2. Step 2: Convert to fraction form
    6,088/9,132.58 = 2,802.02/x
  3. Step 3: Cross multiply
    6,088x = 9,132.58 × 2,802.02
  4. Step 4: Simplify right side
    6,088x = 25,589,671.81
  5. Step 5: Solve for x
    x = 25,589,671.81/6,088
  6. Step 6: Final answer
    x = 4,203.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.